Explain what binary has in common with other systems includi
Explain what binary has in common with other systems including decimal, hexadecimal, and Babylonian.
Solution
Answer:
Decimal:
=> we use 10 different symboles like 0,1,2,3,4,5,6,7,8,9 thees are called decimal numbers.
=> When we run out of symbols, we go to the next digit placement. To represent one higher than 9, we use 10 meaning one unit of ten and zero units of one.
Binary:
=> Binary is another way of saying Base Two. So, in a binary number system, there are only two symbols used to represent numbers: 0 and 1
Example:
Hexadecimal:
=> The hexadecimal system is Base Sixteen. As its base implies, this number system uses sixteen symbols to represent numbers.
=> Unlike binary and octal, hexadecimal has six additional symbols that it uses beyond the conventional ones found in decimal.
Example:
Babylonian:
=> The Babylonian scale of enumeration is known as the sexagesimal system, and used 60 as their base.
=> When you represent a whole number in the sexagesimal system the last space \"digit\" is for the numbers from 1 to 59, the next to the last space \"digit\" for multiples of 60.
example:
--> 60 2 =3600
--> 60 3 = 216000
--> 60 4 = 12960000
| binary | 0 | 1 | 10 | 11 | 100 | 101 | 110 | 111 | 1000 | 1001 | 1010 |
| decimal | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
